78281280000 has 1200 divisors, whose sum is σ = 352975461696. Its totient is φ = 16220160000.

The previous prime is 78281279987. The next prime is 78281280019. The reversal of 78281280000 is 8218287.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×78281280000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 221759824 + ... + 221760176.

Almost surely, 2^78281280000 is an apocalyptic number.

78281280000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78281280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176487730848).

78281280000 is an abundant number, since it is smaller than the sum of its proper divisors (274694181696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78281280000 is a wasteful number, since it uses less digits than its factorization.

78281280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 78281280000 its reverse (8218287), we get a palindrome (78289498287).

It can be divided in two parts, 78281 and 280000, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 78281280000 in words is "seventy-eight billion, two hundred eighty-one million, two hundred eighty thousand".